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Simplifying 2[11 + -1a] = a + -5 [11 * 2 + -1a * 2] = a + -5 [22 + -2a] = a + -5 Reorder the terms: 22 + -2a = -5 + a Solving 22 + -2a = -5 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 22 + -2a + -1a = -5 + a + -1a Combine like terms: -2a + -1a = -3a 22 + -3a = -5 + a + -1a Combine like terms: a + -1a = 0 22 + -3a = -5 + 0 22 + -3a = -5 Add '-22' to each side of the equation. 22 + -22 + -3a = -5 + -22 Combine like terms: 22 + -22 = 0 0 + -3a = -5 + -22 -3a = -5 + -22 Combine like terms: -5 + -22 = -27 -3a = -27 Divide each side by '-3'. a = 9 Simplifying a = 9
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